Answer: C. x = 0 or x = 6
Explanation/Steps:
-4|-2x+6|=-24 ← Divide both sides by -4
|-2x+6|=6
Then we use the rule where |f(x)| = a ⇒ f(x)=-a or f(x) = a
-2x+6 = -6 or -2x+6 = 6
First way:
-2x+6 = -6 ← Subtract 6 from both sides
-2x + 6 - 6 = -6 - 6
-2x = -12 ← Divide both sides by -2
x = 6
Second way:
-2x+6 = 6 ← Subtract 6 from both sides
-2x + 6 - 6 = 6 - 6
-2x = 0 ← Divide both sides by -2
x = 0
